The following inequality (REF ) not merely generalized Oppenheim's result,
but also presented a well connection between (REF ) and (REF );
see [1]} or [2]} for more details.
\( \det (A\circ B) + \det (AB) \ge \det A\cdot \prod _{i=1}^n b_{ii} + \det B\cdot \prod _{i=1}^n a_{ii}.\) 
